Which equation has a constant of proportionality equal to 999? Choose 1 Choose 1 (Choice A) A y=\dfrac{81}{3}xy= 3 81 xy, equals, start fraction, 81, divided by, 3, end fraction, x (Choice B) B y=9xy=9xy, equals, 9, x (Choice C, Checked) C y=3xy=3xy, equals, 3, x (Choice D) D y=\dfrac{1}{9}xy= 9 1 x

Option (D) is correct

Step-by-step explanation:

If y is a multiple of x and versa, it will have a constant of proportionality.

Option (A)

y = (81/3)xy

y will cancel out

1=27x

It is not correct

Option (B)

y=9xy

y will cancel out

1=9x

Option (C)

y=3xy

y will cancel out

1=3x

Option (D)

y = (1/9) x

y will cancel out

x=9y

In option (D), we see that x is 9 times of x. It means it has constant of proportionality equal to 9.

x = central angle apc = measure of minor arc ac

the two angles x and 30 add to 180, so x+30 = 180 and x = 180-30 = 150. the measure of minor arc ac is 150 degrees.

what we need to do from here is find the circumference and then multiply it by x/360 since there are 360 degrees in a circle. in this case, x = 150, so x/360 = 150/360 = 15/36 = 5/12. the shortest distance along the curve from a to c is 5/12 of the distance around the entire circle (aka circumference)

c = circumference

c = pi*d

c = pi*24

c = 24pi

now multiply this by 5/12 to get

distance along minor arc ac = (5/12)*(circumference)

distance along minor arc ac = (5/12)*(24pi)

distance along minor arc ac = 10pi

the formula you can use is

l = (x/360)*pi*d

with

l = length of minor arc

x = central angle

d = diameter

which essentially is the steps we took though a bit differently.

1/3 + 1/5 = 8/15.

step-by-step explanation:

hope it